8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
1
Figure 1 and Figure 2 are shown on the coordinate plane below.
Prove that Figure 1 and Figure 2 are congruent by describing a sequence of three single
transformations that would transform Figure 1 to Figure 2. In your response, be sure to identify the
three transformations in the order they are performed.
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 1
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
2
An engineer is using a coordinate plane to design a new jet engine. The location of a hexagonal bolt
in the jet engine, shown as Hexagon ABCDEF, is in the coordinate plane below.
The engineer realizes that the jet engine will run more efficiently if she uses a bolt that is similarly
shaped to the original bolt but has a scale factor of
1
. She plans to label the new bolt Hexagon
2
A'B'C'D'E'F' on the coordinate plane.
Enter the location of Point D'.
(
,
)
3
4
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 2
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
5
Using coordinate notation, describe a transformation that shows that trapezoid HIJK is similar to
trapezoid H'I'J'K'.
Enter your answer(s) in the response boxes below.
Ta,b(x, y) = (
6
,
)
Rectangle ABCD is reduced by a scale factor of
1
about the center of dilation O. It is then translated
2
2 units left and 3 units down. What are the coordinates of A’?
A’ = (
,
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
)
Continue: Turn to the next page.
Page 3
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
7
Triangle ABC is similar to triangle DEF by a dilation about the origin. Find the scale factor of the
dilation. Enter your answer as a fraction.
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 4
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
8
An engineer is planning to construct triangular halls on a new construction site. A scale model of
the engineer's triangular halls is shown below. Each unit represents 10 feet.
Which of the following statements are true about this scale model? Select three statements that
apply.
A. Hall C is similar to Hall A.
B. Hall C is similar to Hall B.
C. Hall C is congruent to Hall A.
9
D. Hall B is congruent to Hall A.
E. The scale factor of dilation applied to Hall B to
produce Hall C is 5.
Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated
counterclockwise 90° about the origin.
Enter the coordinates for C'.
(
10
,
)
The triangle on the left is rotated left 90° and then translated right. Which number represents the
right angle?
Angle
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 5
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
11
Triangle PQR is enlarged with P as the center of dilation and a scale factor of
3
. What are the
2
coordinates of R'?
R' = (
,
)
12
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 6
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
13
Rectangle PQRS is graphed on a coordinate plane with vertices P(–2, 1), Q(–2, 4), R(–4, 4), and
S(–4, 1), as shown below.
Rectangle PQRS is reflected over the y–axis and then translated 2 units to the left resulting in
Rectangle P'Q'R'S'. What are the coordinates of P'?
A. (–4, –1)
B. (0, 1)
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
C. (1, 0)
D. (4, 1)
Continue: Turn to the next page.
Page 7
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
14
Triangle ABC was created by joining points A(–7, 1), B(–6, 4), and C(–3, 3) with line segments.
Triangle ABC is reflected over the x–axis and then reflected over the y–axis to form the new triangle
where x, y, and z represent the lengths of the sides of the new triangle.
Enter the letter of the side of the new triangle that is equal to side AB.
Side AB is parallel to side
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
.
Continue: Turn to the next page.
Page 8
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
15
Rectangle ABCD is shown on the coordinate plane.
Rectangle ABCD is rotated 90° clockwise about the origin to produce Rectangle A'B'C'D'. What is
the length, in units, of line segment C'D'?
units
16
Peter draws Figure 1 and Figure 2, as shown below.
Peter claims that the two figures are congruent since Figure 2 can be obtained by translating Figure
1 to the left and then rotating it clockwise around point P.
How many degrees must the rotation be in order for Peter's claim to be correct? Enter the smallest
possible degree measure.
degrees
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 9
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
17
Two figures are shown on the coordinate grid.
Prove that Figure 1 and Figure 2 are congruent.
Describe three single transformations that, when performed, would transform Figure 1 to Figure 2.
In your response, be sure to identify the transformations in the order they are performed.
18
Rectangle WXYZ is shown on this coordinate grid. Translate rectangle WXYZ 4 units to the right and
6 units down.
What are the coordinates of the new rectangle ABCD?
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 10
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
19
Look at ΔLMN and ΔOPQ on the coordinate grid.
Describe a sequence of transformations that verify that these triangles are geometrically similar.
20
Rectangles EFGH and IJKL are shown on this coordinate grid.
Describe a sequence of transformations that verify that these rectangles are geometrically similar.
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 11
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
21
Which of the following triangles D'E'F' is the image of triangle DEF that results from reflecting
triangle DEF across the y–axis?
A.
C.
B.
D.
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 12
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
22
If Triangle HIJ is reflected over the x–axis, which of the following is the set of vertices of Triangle
H'I'J'?
A. H'(–1 , 4), I'(4 , 2), J'(–2 , –3)
B. H'(1 , –4), I'(–4 , –2), J'(2 , 3)
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
C. H'(–9 , 4), I'(–4 , 2), J'(–10 , –3)
D. H'(1 , –10), I'(–4 , –8), J'(2 , –3)
Continue: Turn to the next page.
Page 13
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
23
Which of the following graphs shows the figure below translated 3 units down?
A.
C.
B.
D.
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 14
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
24
Which of the following shows a translation of the figure below across the y–axis?
A.
C.
B.
D.
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
Continue: Turn to the next page.
Page 15
8 Choi - Transformational Geometry Practice Test 1 -
Assessment ID:
ib.600664
Directions: Answer the following question(s).
25
∠A ≅ ∠_____.
A. B
B. Q
Illuminate Itembank™
Generated On March 3, 2016, 10:04 AM PST
C. R
D. S
Stop: You have finished the assessment.
Page 16